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Finding the Fourth Proportional to 2,048.22, 2,826.25 and 1,163.84

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Solution

The fourth proportional to 2,048.22, 2,826.25 and 1,163.84 is: 1,605.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.22 : 2,826.25 = 1,163.84 : x
  2. Step 2: Convert to fraction form
    2,048.22/2,826.25 = 1,163.84/x
  3. Step 3: Cross multiply
    2,048.22x = 2,826.25 × 1,163.84
  4. Step 4: Simplify right side
    2,048.22x = 3,289,285.76
  5. Step 5: Solve for x
    x = 3,289,285.76/2,048.22
  6. Step 6: Final answer
    x = 1,605.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.